math test chapter 8and9

To complete the square rationally

-Subtract last number

-Divide the Aye to each part

-Find C: (1/2 times b) squared

-Add C to both sides

-Square root both sides don’t forget ±

-Solve

To complete the square irrationally

-Subtract last number

-Divide the Aye to each part

-Find C: (1/2 times b) squared

-Add C to both sides

-Square root both sides and for fraction side square root the numerator and denominator don’t forget ±

-Solve for both ± and put in commas

To find vertex:

Vertex is parenthesis your equation of axis comma you plugging the equation of axis in your equation to get both numbers

To find line of symmetry:

Put x = what your equation of axis equals

If a is negative put maximum, if a is positive put minimum.

To find the number to put in, plug your equation of axis into original equation or just look at second number in vertex.

To find x-intercepts

Solve the quadratic formula and put both points for ±

To find the y-intercept

Plug zero in for x and solve for y

To find the equation of axis

Put negative b over 2a

To find C

Put parenthesis one half times b parenthesis squared